The purpose of thinking about the future is not to predict it but to raise people's hopes.

That was the wonderful thing about Ramanujan. He discovered so much, and yet he left so much more in his garden for other people to discover.

The most revolutionary aspect of technology is its mobility. Anybody can learn it. It jumps easily over barriers of race and language. ... The new technology of microchips and computer software is learned much faster than the old technology of coal and iron. It took three generations of misery for the older industrial countries to master the technology of coal and iron. The new industrial countries of East Asia, South Korea, and Singapore and Taiwan, mastered the new technology and made the jump from poverty to wealth in a single generation.

The Besicovitch style is architectural. He builds out of simply elements a delicate and complicated architectural structure, usually with a hierarchical plan, and then, when the building is finished, the completed structure leads by simple arguments to an unexpected conclusion. Every Besicovitch proof is a work of art, as carefully constructed as a Bach fugue.

A model is done when nothing else can be taken out.

Everything in my life was luck.

The point of fact is, just in simple ways, you can see how much better things have gotten. I mean, when I was a child, I lived in England, and England was just amazingly polluted. We didn't use that word. We just said it was it all covered with soot.